Question

8. 15.5% of India's population lives in Uttar Pradesh. The population of Uttar Pradesh is 20.2 crores.
a) Find the population of India.​

Answer 1

➤ Given :-

Percentage of population (UP) :- 15.5%

Total Population (UP) :- 20.2 crores

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➤ To Find :-

Total population in India

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★ How to do :-

Here, we are given that the population in uttar pradesh is 20.2 crores which can be written in numerical form as 202000000. This is 15.5% compared to whole india. So, we should find the total population of india using the percentage of population in uttar pradesh and population in uttar pradesh. We should take the value of population in India as a variable x and then we can find the value of x.

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➤ Solution :-

${\tt \leadsto 15.5 \bf\% \tt \: \: of \: \: (x) = 202000000}$

${\tt \leadsto \dfrac{15.5}{100} \times (x) = 202000000}$

${\tt \leadsto \dfrac{155}{1000} \times (x) = 202000000}$

${\tt \leadsto \dfrac{155}{ \cancel{1000}} \times (x) = \cancel{202000000} = \dfrac{155}{1} \times (x) = 202000}$

${\tt \leadsto (x) = \dfrac{202000 \times 1}{155}}$

${\tt \leadsto (x) = \cancel \dfrac{202000}{155} = \boxed{\tt 1303.22 \approx}}$

$\Huge\therefore$ The total population of India is 1303.22.

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More to know :-

The formula applied to calculate the percentage is

${\longrightarrow \sf \dfrac{Obtained \: value}{Total \: value} \times 100}$

• To convert the fraction to percentage form, we should multiply the given fraction with 100.
• To convert the decimal to percentage form, first we should convert it to fractional form and then multiply it by 100.
• To convert the ratio to percentage form, first we should convert it to fractional form and then multiply it by 100.